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complex numbers : complex numbers, significance of the imaginary unit i, addition, multiplication and division, properties of complex numbers ; if a + ib = , then a= , b= ; if a + ib = c + id, then a = c, b = d. argand diagram. modulus. argument, complex conjugate. square root of complex numbers, cube roots
of unity and their properties. ● theory of quadratic equations: quadratic equations with real roots. statement of fundamental theorem of algebra. roots (two and only two roots), relation between roots and coefficients of a quadratic equation. nature of roots, common roots. nature of the quadratic expression...
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